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Finding the Fourth Proportional to 16,236.52, 24,345.52 and 5,146

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Solution

The fourth proportional to 16,236.52, 24,345.52 and 5,146 is: 7,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.52 : 24,345.52 = 5,146 : x
  2. Step 2: Convert to fraction form
    16,236.52/24,345.52 = 5,146/x
  3. Step 3: Cross multiply
    16,236.52x = 24,345.52 × 5,146
  4. Step 4: Simplify right side
    16,236.52x = 125,282,045.92
  5. Step 5: Solve for x
    x = 125,282,045.92/16,236.52
  6. Step 6: Final answer
    x = 7,716.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.